(1- 1/6) (1-1/7).... (1- (1/ (n+4))) (1-(1/ (n+5))) = ? – InterviewSolution

1.

(1- 1/6) (1-1/7).... (1- (1/ (n+4))) (1-(1/ (n+5))) = ?

Answer»

=(5/6)*(6/7)*(7/8)*...((n+3)/(n+4))*((n+4)/(n+5))
=5/n+5

=(5/6)*(6/7)*(7/8)*...((n+3)/(n+4))*((n+4)/(n+5))
=5/n+5

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